103232222213232 has 480 divisors, whose sum is σ = 336801459041280. Its totient is φ = 27077205657600.

The previous prime is 103232222213203. The next prime is 103232222213233. The reversal of 103232222213232 is 232312222232301.

It is a happy number.

It is a super-2 number, since 2×103232222213232² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103232222213232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232222213233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211890618 + ... + 212377254.

It is an arithmetic number, because the mean of its divisors is an integer number (701669706336).

Almost surely, 2^{103232222213232} is an apocalyptic number.

103232222213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103232222213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168400729520640).

103232222213232 is an abundant number, since it is smaller than the sum of its proper divisors (233569236828048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103232222213232 is a wasteful number, since it uses less digits than its factorization.

103232222213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486829 (or 486816 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 103232222213232 its reverse (232312222232301), we get a palindrome (335544444445533).

The spelling of 103232222213232 in words is "one hundred three trillion, two hundred thirty-two billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred thirty-two".